{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Convolutions Sidebar.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "collapsed_sections": []
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.5.2"
    },
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "tJTHvE8Qe5nM"
      },
      "source": [
        "Let's explore how convolutions work by creating a basic convolution on a 2D Grey Scale image. First we can load the image by taking the 'ascent' image from scipy. It's a nice, built-in picture with lots of angles and lines. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "DZ5OXYiolCUi",
        "colab": {}
      },
      "source": [
        "import cv2\n",
        "import numpy as np\n",
        "from scipy import misc\n",
        "i = misc.ascent()\n"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "SRIzxjWWfJjk"
      },
      "source": [
        "Next, we can use the pyplot library to draw the image so we know what it looks like."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "R4p0cfWcfIvi",
        "outputId": "a4779830-f9a6-4a41-ea08-e618037c57ae",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        }
      },
      "source": [
        "import matplotlib.pyplot as plt\n",
        "plt.grid(False)\n",
        "plt.gray()\n",
        "plt.axis('off')\n",
        "plt.imshow(i)\n",
        "plt.show()"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Rfmay6Gyl+wCTN8246Kr53GQVX7FYnBDMHK89pBg73SIdqjSMMiFHtyUWi9ksCloL3IG5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\ngg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "C1mhZ_ZTfPWH"
      },
      "source": [
        "The image is stored as a numpy array, so we can create the transformed image by just copying that array. Let's also get the dimensions of the image so we can loop over it later. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "o5pxGq1SmJMD",
        "colab": {}
      },
      "source": [
        "i_transformed = np.copy(i)\n",
        "size_x = i_transformed.shape[0]\n",
        "size_y = i_transformed.shape[1]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "Y7PwNkiXfddd"
      },
      "source": [
        "Now we can create a filter as a 3x3 array. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "sN3imZannN5J",
        "colab": {}
      },
      "source": [
        "# This filter detects edges nicely\n",
        "# It creates a convolution that only passes through sharp edges and straight\n",
        "# lines.\n",
        "\n",
        "#Experiment with different values for fun effects.\n",
        "#filter = [ [0, 1, 0], [1, -4, 1], [0, 1, 0]]\n",
        "\n",
        "# A couple more filters to try for fun!\n",
        "filter = [ [-1, -2, -1], [0, 0, 0], [1, 2, 1]]\n",
        "#filter = [ [-1, 0, 1], [-2, 0, 2], [-1, 0, 1]]\n",
        "\n",
        "# If all the digits in the filter don't add up to 0 or 1, you \n",
        "# should probably do a weight to get it to do so\n",
        "# so, for example, if your weights are 1,1,1 1,2,1 1,1,1\n",
        "# They add up to 10, so you would set a weight of .1 if you want to normalize them\n",
        "weight  = 1"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "JQmm_iBufmCz"
      },
      "source": [
        "Now let's create a convolution. We will iterate over the image, leaving a 1 pixel margin, and multiply out each of the neighbors of the current pixel by the value defined in the filter. \n",
        "\n",
        "i.e. the current pixel's neighbor above it and to the left will be multiplied by the top left item in the filter etc. etc. We'll then multiply the result by the weight, and then ensure the result is in the range 0-255\n",
        "\n",
        "Finally we'll load the new value into the transformed image. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "299uU2jAr90h",
        "colab": {}
      },
      "source": [
        "for x in range(1,size_x-1):\n",
        "  for y in range(1,size_y-1):\n",
        "      convolution = 0.0\n",
        "      convolution = convolution + (i[x - 1, y-1] * filter[0][0])\n",
        "      convolution = convolution + (i[x, y-1] * filter[0][1])\n",
        "      convolution = convolution + (i[x + 1, y-1] * filter[0][2])\n",
        "      convolution = convolution + (i[x-1, y] * filter[1][0])\n",
        "      convolution = convolution + (i[x, y] * filter[1][1])\n",
        "      convolution = convolution + (i[x+1, y] * filter[1][2])\n",
        "      convolution = convolution + (i[x-1, y+1] * filter[2][0])\n",
        "      convolution = convolution + (i[x, y+1] * filter[2][1])\n",
        "      convolution = convolution + (i[x+1, y+1] * filter[2][2])\n",
        "      convolution = convolution * weight\n",
        "      if(convolution<0):\n",
        "        convolution=0\n",
        "      if(convolution>255):\n",
        "        convolution=255\n",
        "      i_transformed[x, y] = convolution"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "6XA--vgvgDEQ"
      },
      "source": [
        "Now we can plot the image to see the effect of the convolution!"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "7oPhUPNhuGWC",
        "outputId": "7e44db35-005e-4ef1-f231-e9fd8df7c327",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        }
      },
      "source": [
        "# Plot the image. Note the size of the axes -- they are 512 by 512\n",
        "plt.gray()\n",
        "plt.grid(False)\n",
        "plt.imshow(i_transformed)\n",
        "#plt.axis('off')\n",
        "plt.show()   "
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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y9PkFgO655x7y+Xy2gWLtklxWOBy2RQJnnXWWcjxfoW8vWLCATjvtNPne/sVK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\nAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "xF0FPplsgHNh"
      },
      "source": [
        "This code will show a (2, 2) pooling. The idea here is to iterate over the image, and look at the pixel and it's immediate neighbors to the right, beneath, and right-beneath. Take the largest of them and load it into the new image. Thus the new image will be 1/4 the size of the old -- with the dimensions on X and Y being halved by this process. You'll see that the features get maintained despite this compression!"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab_type": "code",
        "id": "kDHjf-ehaBqm",
        "outputId": "b682f6f0-d1d0-4d78-fc63-63122dcb4810",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        }
      },
      "source": [
        "new_x = int(size_x/2)\n",
        "new_y = int(size_y/2)\n",
        "newImage = np.zeros((new_x, new_y))\n",
        "for x in range(0, size_x, 2):\n",
        "  for y in range(0, size_y, 2):\n",
        "    pixels = []\n",
        "    pixels.append(i_transformed[x, y])\n",
        "    pixels.append(i_transformed[x+1, y])\n",
        "    pixels.append(i_transformed[x, y+1])\n",
        "    pixels.append(i_transformed[x+1, y+1])\n",
        "    newImage[int(x/2),int(y/2)] = max(pixels)\n",
        "\n",
        "# Plot the image. Note the size of the axes -- now 256 pixels instead of 512\n",
        "plt.gray()\n",
        "plt.grid(False)\n",
        "plt.imshow(newImage)\n",
        "#plt.axis('off')\n",
        "plt.show()      \n",
        "    \n",
        "    "
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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h5L29vUgmk6YakgBw6623IhKJYMyYMaJxqAIjk8ngpptuwqpVqzBlyhT88pe/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\nWZvNJmw2G/v55GfL8RyciwmRkE9OPwkJCSIrK4tjA/ScCMQkv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682XM/Hx0csm759+0pl\nMD524sSJBgJcAPj73/+O9evXAwDuvfdeVFRUYMiQIaipqUF+fj727dsn2YZ5eXkyExcVFRksMwZD\n1biPkJAQzJgxw5COz6LmCwAQKnW1QhXQhOmMHDmy2VwNtXQco/y5ubkYMWKEgK9hYWE4cOAAFi1a\nJLM4p1er57t48aLgEdu3bxePS319vYTcl5aW4vjx44ZxabFYYLfbUVRUhKSkJIwfPx7h4eGw2+0G\nYFol72EpKyszsE9fsfzcs///5cPaT9M06t69O8XGxlKHDh0oOTmZIiMjKSYmRtbxUNaPvr6+ZLFY\nDDO1yWSiNWvWkM1mE5/uAw88QABo+PDhXmsvnqHUD8cjJCQkGCjY7HY7tW3bljp06EBt27YlABQa\nGkrTp0+n6dOnG4ricLTi5QqYqNdSI9z4ExsbSxkZGTR37lxatmwZDR48mDIzM2VGYh8+i/r/8ePH\nZZbiSFB1X/U7r6N5ZuX1uIofAKD6+nqDVbJu3Trpf/V8/Ix8fX1p//79zc7kRMa4BsZc4uLiJCsT\n0DM0zWazzKZdunSh2NhYstvthliEHTt20B//+EeDNbFs2TLDffG+GRkZhv2eeOIJAkBHjx6l++67\nTyjzPv74Y4P1l5KSIvfWtm1bOR9/bDYbJSYmynOfNGkSDR061FAQaeXKlfTGG29IezwtUHVM3HPP\nPZSWlib7ch906NCBpk+fTnPmzKEpU6ZQSkqK9KXZbJbCNWoUpcVi+clxDFddKRARVNMoOTmZunbt\nSmlpadSuXTsKCwuj8PBwQ7pumzZtyOVyGZYR/LFYLPT4448LzyAAevDBBw3movoQevbs6fVSapom\nHIWc7spAJpu1LpeLXC4XOZ1OcjgcNHv2bJoxYwYNGTKEbDYbBQYGNhu6yg+er+OZMssPkl/OwMBA\nevTRR+nZZ581VGByu92GF+7xxx9v1pRWw3hPnTrl9aKqgUnqsdxG/n/VqlUyAImI6urqZBCqx6pK\nnsO6m1MMx44d8+oXBh09lTYDtklJSZSamkrBwcGyzFHT3JkjUr1Wu3btqKGhgYiIJk2aJEpL3S84\nOJhGjBhBmZmZZLfbZTvv53A4KC4uTsbT0aNHDX3Mn+TkZIqNjSVAD9ufPHmyYTLr3Lkz7d+/n/79\n738TEdHMmTMNQKQ6JjRNk+sQkQR/8aSTkZEhv9lsNq+gs4SEBOrbty/5+/v/ehWDxWKROH9AR1BT\nU1MpLi6OIiMjDTfs5+cnOf6cC8Gdy1YCexI4sm727NkEgAYOHOilGFJTU5tdr/n6+pLNZpP/2Wui\nvsRWq5UCAwNFeY0cOZJmzZpF8+fPp4SEhMsqBjXnXlUWbDmoSgIABQcHU1hYGEVHRxteLgBUXV0t\nA+Ts2bOGlwKAYVZas2aN/PbWW2/JgOM2qceqnonQ0FDq37+/lPVTByvv9/XXXxvOpyobABI1qR7P\nZfF4X7bSWDGyUuN9AgMDKSEhgTp06EC9evUiIqL6+npZ23uen8/LuSC8jZ8rb1cjEE0mk+zLLyJP\nCE6nkywWi+Fcan5CSEiIcEIEBATQPffcI54U/uzZs4f27t0r5+DjPfEok8lElZWVNGLECCIiOnXq\nlFh3bdq0EeJb9T49P+pE8qvEGABIpB7nMwD6+u7ChQuy3m/Tpg3q6upQV1eHvLw8qZCk3zuEA3LB\nggUAdHQ8OTlZ1omedFsA8N133xnSftUYB9WXrcatEzWVKrt06RKKiooQHh6Or776Chs2bMDJkycx\nceJEiZ8AmhBkrZEfkvER3kZEXunfQBODVHFxMcrLyw2RmIAeJMVrZs/fPv74Y/Tq1Uv+58IrLpdL\nAo/Yx89xFizqOnzlypX48ssvJXjok08+kT5hXGXlypUAIFWWPJHwxx9/XL5zbENFRYVXvYOGhgbx\nTnB2I3sPmJxV9UqptH0sHKHJeIpn1GdNTQ2uvfZawWj+/ve/G67PkZEcuMSkwbW1tYboTrvdbhgv\nRUVFMJlMiIyMFBLirl27GjCX5cuXG7AhxpvU564yON17770AgHbt2klR4VGjRhlo+7hNH374ITIy\nMuR6XEkc8B4bPypXqkF+yY9KvZ2cnEy33XabZN2xJuXCnzabjZxOp8QsMOsQGjWtZ8HTSZMmSYHb\nCRMmNKtZb7jhBgoLCzNsU5mceJ1rtVopICCA7Ha7/O7n5ydWjMvlogEDBsgy6KGHHqKHHnrIYPXw\nDMsFStUsTWbcUa0GziXwtD7CwsJUWnAaN24cPfHEE3Tw4EHKzs6mcePGUX5+vrBfDRs2TEz73/3u\ndzKzqtbS0KFDiahpeeF0Or2sFHXpMGTIEEP+CBHRyZMnDefcvXu34XjuZyKilStXypqcP35+fpSU\nlCTWFO/P/6veqYkTJxKRjhMQEeXl5UmGqudsyvT06jZ15uZtHJ+Rk5NDRCSU9fycHA6HjDGmsVet\nBh8fH+lzi8VC48aNo/T0dEOfLFmyRPpl1qxZBkuBz6FpGrlcLjp9+jStXLlS2slWTEFBAWVlZcl2\nTw+U6nmx2+00d+7cn2QxXHWlQI2KgTule/fuNGjQIHlpuNNYKfBN8zKBzXJ+6dj04uPmzp1LgwYN\nIgA0atSoZs37fv36edWW4KQUvjbXrPD39yeHwyHBUH5+fvJSP/HEE1RcXEwDBgyghIQEGfRWq5VM\nJhMFBQXJOflYvhZ/DwoKknOj0Yx1OBwGXIKDpvz8/AwBURzwFBERQSNGjKCDBw8KKHngwAHSNI2I\niJYvXy6DhhN1WFmpg4zBK/XF5msR6YCnqtRZ+CXyDJQiIsM2vr56LUB3nXKbGORVK3xznRAGAYmI\nXnrpJcNLzsBnWFgYRURE0LZt2wy/A/rSkl+uZ555RtphNpspICBA9udJiRUgK1g+lzpOAFBSUpKh\nTzwBbrvdTvv27aPJkyc3O1FxJXcAtGXLFiopKaFVq1YREdGjjz5KAGjhwoV04sQJeuqpp4hIV9i+\nvr6G5aLL5SIiXdG/++67vz7FoIKPjC2oL4LKf6Bqb34g/LL4+/vTwoULDQ9/7ty5DLzQ4MGDvRQD\nI84DBgwweCxUi8HPz09ARvbfM+DDJdXVtScPZs9P27ZtacKECVJWnl9AXr/6+PiIMvH19ZUZSgWk\neH/uHx4QjNFwnyxZsoSI9LgEjjPggarOqna7XZRLRESEDCTPWYf/MmbBoj4n9WVh/EU9ftWqVV7H\ns0JXsZC//vWvwpHAa3buZx7wbdu2lQhIPs+OHTu82rhjxw6KiYmhsWPHyr4qN+TBgwcN5/D39xfg\nmkUFsqOjoyk6OtpgCanWAu+jKoawsDAvb9g777xD+/btMxynZunyZJmQkEDnzp2TyFj1msePH6cD\nBw4QERniY9R7IdI9Txs3bvxJiqFFYAzh4eHiNz506BByc3MNufiea29eU6nlwEwmEyorK4WqSxWO\n+rt06ZLX2reurg6HDx9GdXW1cBECusJkFmC+jppNyJmB3B51HelyuRATEyNJNSwFBQWoqqrC6NGj\nER0dLXUvTCYTysrKYDabJUOvurpars+x72of8Pfy8nJJAgoMDJSIw5iYGFRWVmLp0qVenA5q+TMu\ncAI0lc3jiMTm6h16Zn+qOQFco8HlckmGpyrPP/88fvOb38But0u+BfvyOe9F0/Ty9cOHDzccy+t7\njmsIDg5GZWUlXnjhBQB6xilXOOe4EkDP5Dxz5gy2bNkibeUSfP3795fcChaOkampqREspWfPnnLs\n2bNnUVVVJdGUnBvB/cb9GBcXh759+wLQ8QHPvnj44YfR0NBg4KzkKFkee3a7HSdPnsTJkycxe/Zs\niU7l8Z+YmIjAwEB8+OGHWLhwoZQg+OKLL0BEci8XLlxoltX8B+VKNcgv+WnXrp1hRvy/fPhYngF4\n+2233SYzoidCrH46d+5MvXv3lv/ZOuDcAc6fYCuCfe9sAtvtdvrggw/o008/JSKiu+++m9q0aeOF\n0gM67jF58mQaOHCgRLExbsHnZmYo1WLic6nLLNVdC+h+euYYePPNN+nEiROUn58vfaLOOvzXcznA\n11PxAGZEYrbtDRs2eM2Y7CkYN24cWa1Wg3szKyuLrFYr7d69W54HEdHUqVMpODjYK9LwvffeE4uB\n28HLOafTSWlpaYZrHjlypNn74+9Op5OOHDki2wICAqisrIwA0PLly4lIz71Q74fxFT4HW3M2m41C\nQ0OJiAz5CeqxbKURkddv/Nm/fz+98847zY4Rtkrtdjulp6dTVlYWTZo0iYiMuRY7d+6k06dPSxvZ\nsvHsgw0bNvwki+GqKwVqVAyebkTP5QO/BLz2VwE61UzbuHEjrV69Wv5nv7gK1DUXdOTj40MpKSly\nLu58XkIEBASIy5KVAy8r2J/fq1cvWrBgARERDRo0yBC4xO31HARDhgyhcePG0Z133unlulOVlMVi\nMSgBVVnwcepaWNM0IWpJTEyUgaK+0EOGDKGQkBBZs/v4+NCWLVvkWqywHn30UVJFfbH/+Mc/GgBE\nFnYBqmY9/2XwUH3pABgwmA0bNtDYsWPJZrPJGp2fjaZp1KNHD+rVq5fXcoIV2MiRIw3XBXQgs7Cw\nkIiIPvnkE4n98KTI4/Hicrlo8eLFhu18X3a7ncLCwoiIDAFG3I833ngj3XvvvURE9OKLLzYbawCA\n1/5kMpm8lht8LpPJRGPGjKGjR49S//79De1RnylvV4FIBoUbf/v1KQbPrDTuLE/QTe0QflEYiARA\n69atM3gBGCFWBx1/1Afl7+9P3bt3lxeLa0wEBASQn58fBQUFSWYlKwRWUgwG9unTRwrSDho0yNBm\n9WVWFQBf+/e//z0NHz6cgoODDQqRvRIq0KquQ1WQVM0ZUfvKarUaskSJdD5IADA3GuUAACAASURB\nVJSWlmYAMCdMmEAdOnSQa3CWpiqqEti7d6/M9irOwC+JqkT4L2/buHGj18vIL928efPolVdeIQBS\nKFdVmpyRqN4ToOMV9fX1huvxyxwdHS3xFER6xin3g9rGwMBA6V8G8NgyZMwHaAI/1Rean0WHDh3o\nhhtukGsFBAR4PXdAZ7Pi754eGk+r8fjx481iG4Be6JeIaPTo0TJxcZZx586df7JiaBEYA6+rbDab\noY4D8xjwPowPqAzOvNZnf3xKSoqBzYc5BbhWpSrqustkMsHpdArHADMNqzEQ9fX1hnNYLBZhgua6\nAdw2z+pImqZJxhuXTud9y8vLsWrVKiQkJGDGjBkSe6BpmrAl8fqT6y5ypiARecVa6GOgSWpra7Fl\nyxbY7XZs2LABACQP4qabbpLsPAD49NNP0bt3b2HOVjkduLy9mjnZo0cPOVbTNOF94DbwOhfQcQ8A\n+N3vfoeQkBAMHToUgF5uEGiqEel2u/GPf/xDMA5N04TPkcdDaWmptO3NN9+Ua1y6dMnwjJ566ikp\nbFtWVmYobrtnzx7k5eUZcBMmqWloaDBkKHK8hq+vr9wbj8esrCxpH/fFyZMnhb0c0DNSa2pq5B75\nmmvWrBGiFpVTge/Vp7F0oKZpWLJkiYFRWsWAGKN5/fXXZSwy/f33339v4K68EmkRioGFqdIsFoso\nBpVliGnU1IHI23kb11AA9HTam2++GQC8SGABCNGJ2WyWcmA88FhJAU3kmgyC8sMym81SOISBQjUV\nG9DBKQ5Y4SAuIhLyWrWwyfr161FUVIQxY8bgnnvuga+vL2pra6WWIde0YNCSgUNuizqQiEiASwYC\nq6urERsbi2uvvVZIXidMmICGhgYB0SoqKiQZqqamxlApnBORPBWsqkw5WIiVm8qixDRoy5YtM5zD\nMwnNZDKhurraQA/HLxQ/Z6Zga9eunRc93oEDB+T7jBkzhBSmtLQUL7zwghdrVl1dnSQjqeQzXKzl\nrrvukvviuqBAU2GZdu3aGajhuC+qqqqkvseXX34JoEmZqFWve/ToIfepgsw1NTWGgKq1a9dKijbQ\nNDECxgLGvXr1Qn19vZzrx1jCmpMWpRgYua2rq5MCHeqD4g7zLGvP0YSe0qlTJ3ngzKDsKfyi8izI\n5+E8en7JmDWaGaTtdrvUL2RNb2qs/APoSolIr91otVpF2am1Ifn6gM4qFB0djd27d2PHjh04cuQI\nQkNDDbn1/LJzX/B3VgbsQfH39xerwmQyGSyZr776Cjk5OXjllVfg6+uL4OBgrFmzRhRqdXU1br75\nZtTU1ICIDC8214387W9/CwCS1VhRUSGKhWtE8MvOL8/GjRvlPGaz2YDSM8JfW1sLf39/OYZZnT2r\nRvG+BQUFiIuLQ3l5uTB2ATo/JfeRp2RnZ8t5WbRG/kpN0/DPf/5TtlutVlRXV+PTTz/FAw88IM+O\nx0hBQYFwQLBHi61BAAbOB5aqqiqJfFQtj9jYWLjdbtx5552yr6dnp76+HuvXrxcOSrfbLeefN28e\nPvvsMwC6EuJJgaW5vvghaVGKgRvPVoCnaxEwhizz/lxhyFPCw8NFW6pFTFXh0FPP0vZAU0lyful5\nOaOa6yaTSapfM2kG0DRA8vLy0KZNG4SEhKBnz57o3r27ENdymi0ASSc/evQo3nzzTezYsQNlZWWo\nqqqCr6+vLBdY8Xg+dCZV9WmseqSmnldUVIgLsqamBlVVVeIefeCBB1BTU4N77rkHALzS0lVzldPA\np06disjISFkKqIqVFd2oUaPEqgkKCsJtt90GAIb7VUU9nl8sdhcWFRUZlDpbRsXFxaIw/vu//1t+\nV0OBWdgEr62tlTRxFn6mgG5hsPCY8uQI5eUd0KTU9u/fL8sJFi6SzKnWrFg8XZdOpxP9+vUD0BRa\nztdh4ULMy5YtE8uNJzWTyYSDBw8a0vLbt28Pk8mE48eP/2SlAKBlgI+xsbEGl1lz6D0Dana73RAm\nDQXgggcKPXv2bOrevTsBoPT0dAOoo57TbDZT165dDfswYYvL5SKHw2EAH51OpwS9cEi20+mkUaNG\nCfjIBW9Vl922bduoV69eZLFYKCoqSoKnAN29lZycTJ07dzaQ1gBNxX0feOABGjRokICOQUFBBqCR\nIyYvl+rN4CdHYvJ2h8NBUVFRFBMTI0VqHnzwQWljUFAQU4MJmKamW5vNZnkG/v7+AoSpICnvy0j+\n8uXLDe5Q9gJxf3kCdW3atDEQ9PD2QYMGUc+ePclqtVJxcbEBUK6rq5NIQHVcAKBdu3YZtgUEBNBX\nX31FRETz5883AMMqqMrtY+Q/KipKEpoWLlwolIMqmN6nTx86e/Ysde7c2eDyVNszdepUKWBDpAdp\nMejM57JareI5+uMf/2gom8B/OZSbiCg+Pp4AqDT6vy7wEfAuduKp5bjB6trMkzjVU0wmkyTb+Pv7\nex1HjWs0t9sta1j1WB8fH69AI15KMBmn5zJGXW8DRtr0nJwcpKWloWPHjkhJSZH7YSkuLsbp06dx\n+PBhQ3sOHTqEZ555Bjk5OYiKisLdd98Nt9uNqqoqAW0ByHKFsRMWNSCMwU+Vgq6yshJ5eXk4c+YM\nOnbsiIULF6JXr15YtmwZpk6diuDgYGzduhWATlICGAN7ACNLMa/HrVYriMiQNMSl7qdMmWKYOdX+\nCgoKkn5hYNLtdhuAXb6nU6dOITo6GrW1tXC5XAZ6tjlz5hio31RRAWpAD4Ri6vaFCxfK9vLyckOS\nllqAl8cHB0nNnz9fxq269CkpKcHo0aNx4MABryLHLKdOnTIE5zGxEFuyFotF7u3s2bO48847vZih\nfXx8kJmZiby8PAD6ePPx8UF8fLzgO1cqLUYxAE2mEzWaxqonAoDBjFfNP+4wtaAoAINp31xmJTUC\neur/fD1PkMhqtRo4Ctmc5d81TTOY8GxmBwQEoEOHDtA0DRs3bsS6devQ0NAgOAkvKbKzs4USX2V2\nUgfYpk2b8Nprr6GwsBDDhg2Dy+Uy9APXTlTbz8JgKu+rgroMuppMJnzxxRd45plnMH36dBQWFqJP\nnz548cUX5TxcT9RT2OyurKzE22+/DQAC6LKH5o033jAco3JSVlZWiqnNCgVoqrTNLE+ezy0nJ8ew\nzPjLX/4i359//nl07txZ1u2cqQgA77//PgAIM3NqaqqBAUkFRysqKuSlzcrKQmBgIEpLS2GxWOBy\nubyKyHIb+f/c3FxDFiugL6lU5bBt2zY4HA5hymYchJctdXV18PHxgd1ux6OPPgq73S5YDzUuJ2pr\na7Fu3ToD3sLtufvuu/FTpEUoBk+XI4N86ovKM6MafszH8MugeiQAfbAxYu1Zm0EVPifPwHw9lTJO\n9SbU19fDarVKiLXZbJYHx8fzYCktLUVGRgasVis2bNiAHj16oEOHDsjLyxMK+oaGBpSXl8PtdsuA\nZ2XH/3M/VFRU4M0330RtbS169uyJPn36GEK32dJQZxH28DAgqf7OVgS/xIBuuVRUVGDevHmYP3++\nvEQWi0Vo2gYMGAAAeOWVV6SdTPHOpdsACD1faGgoxowZA6Bp0LPC4P/5pWHQFwAiIiIMBXQ8J4qa\nmho4HA60a9cOAPA///M/hmt//fXXWLNmDQDj+p0L+TDtXUFBARYsWCDn//Of/yz7VldXS3p0VFSU\nwcrjtf91110HQAdoGXDm/i0tLZX+XrFihShENd3/0qVLqKqqEtdlTEwMfH19ceHCBdhsNknxdrvd\nOHHiBPLz8zFlyhR4SkNDA0aPHi01QABduTCGcaXSIhQDizqjq24/FX3nGVY12VjzdurUyXC+6upq\n2c8THVaFz6HOEvydr8fuRfZOqK5T1uoqirxnzx4ZZAcOHMD111+P+++/H2fOnMH1119vYEFWlQ+L\n+p3jFVTrYfPmzcjJyRHgKjo6WpYmqoLidvHyQo1B8LSO2PLhilBFRUUoLi7G0qVLYbfbcd1114mZ\nOn/+fERERGD8+PHo0aOHwRpRlymeeSSADl4COkAWEBCAxMREpKeny/2xh8DPz0/qVQK6hZGUlCTP\njNtdVFQkVbhUqaiowNKlSwWsU4VdmHzfq1evRu/evWXb4sWLDZMSW3VAk1KpqanBqVOnUFRUJEvW\nuLg4WCwWw/IJaIozGD16tEyAnkvhjz76CA6HA8uXLwfQBFZWV1eLJ8xsNsNms2HOnDmoqKjAoEGD\nDOeoqanBpUuXRFGlp6cDgCEn40qkRSkGlbRCLZbBA4Pdl6r5X15eLg9BfbCA0VRtzsPBwmaqGozD\nLyK/LLx254Guzs7qmpfvYcSIEfKiVFdX45NPPkFMTAzKyspw5MgR1NXV4cknnwQR4dZbb5XKQ56m\nKGMbgYGBSE5ONswyPj4+2LhxI/Ly8tCvXz/cfvvtMvNzn7ndbtTU1Ei/qRaI59KKt7GlBOgvXVVV\nFaxWK7Zt2yaKpWPHjrJ0mzRpEvz9/QVPYeXo4+ODiooKmM1mWWpMmTJFXsrnn39erp2ZmSntuXDh\nAoKDg1FRUYHAwEDx858/f96gZLivTpw4AbvdjmnTpnndT05OjpDsAk2YRa9evaT97GrkZDt1DLB8\n//33sjzMzc2V5Q4Ryfhhd25ycjKKiooMSvHYsWNC/BIdHY2QkBCv+AIuFcguUHVyCAwMFM+Tpmky\nhmbPng2gKWCKi89omoYBAwZg27Ztl3Xn/6BcKUr5S36YDOOHEPXmyoCraCwUxBzQyVSZ0g2AkJOo\nxV+ApoSkQYMGGchaAgICpDR5SEgIhYSESM4CI9KhoaGkaZokQI0ZM0bSY/k8nEePRuQ5IyNDiurk\n5eURoKdIT5s2jbp3724gb1FDoznBi6nl58+fLxTmzH8ZFhZG99xzD82dO1c4K1QORpX3gsNsuS88\nw80Z8ebQbygeg4yMDPLz8zMU6A0KCpJnZDKZKCEhgaZOnWogueF91Wel5k1YrVbxOPC5hgwZQuvX\nr5d2JScnU1RUlPzO9zBhwgSyWCzC76iOG89rAjr1f3x8vGzj+21MT5btqrcsLi5O8hLYg6US6yQn\nJxuuoY5Vi8VCgwYNkt89w595P7PZTLNmzaJhw4YZ2qU+M06V9/Pzo127dklJgOHDh8u1uV0sv8q0\na9VbcLn0UHVdp6KxnvRaLJ06dTKg3qonQv0L6GtRz2tzyTm73S4AIy8dPNfCXDOTGjGR7du3y2yo\not9r167Fo48+is6dOyM1NRUzZ86Ew+HAc889h0GDBqGoqEjK7BGRIfyWUWU2SRcuXIjp06cD0GtJ\npqSkICwsDF9++SWysrIMmAzfrxrdyeflmUYN3QYgSybV0uL+3L17NyoqKvDss8+KB+H999/HrFmz\n4OvrK/Ualy5dKtZLbW2twZPBuEVFRYVcIzAwUJ4lW4GbNm3yqqPpcrm8njkvORj4ZGluPDmdTixZ\nsgRhYWG4/fbbATTFVfTo0cNQ9Egdd4WFhXjggQcA6KnbXDuSn31tbS3mz58PoKmkHluVDFxzmPJz\nzz1nKFjMz8PtdqO4uFiWTFySj0W1COvr67F27VpJq+d4CYfDgbq6Ovj6+uKGG24AAInAvFJpEYqB\nhTvHc02q/gZA4tjZW9CcBAUFSTANAEMYtadYrVaUlZUZgnvYZONgKwb4uIAun4c9KRaLRXj+YmNj\nJRpwzpw5cs7Y2FgsXboU/v7+KC8vx9mzZ3HttdfixhtvxK233orz58/Dz89PcAJ1UHKR3g4dOiAp\nKQmnTp0S07a4uBi5ubkoKCjAoUOH8Pbbb6OyshJmsxlWqxV+fn5eHh0AEtjF/6s5Axx+zZGd7Kb1\n9fWFzWYTpVNSUoLExEQcO3YMgwYNwjfffANADyhjLMhTKQNNAUlDhw6VgT979mxDoJOaJ8Pm/oUL\nF+BwOKStrCCOHDmC+vp6A7ckAIP7kj0Wzz33HAA9QpArRH344YcA9KrYGzZskPPziw7oylL1JDD4\nyd9ra2sl1Jyvq3pSTp8+LcvVsWPHiqL1DPb68MMP5dmfOXPGUMEagNSJMJlMWLNmDcrLy2E2m4Xj\nkttUWVmJr7/+WpTwT5EWpRgAI+mq53ZVGGH3JA5hadu2rUTqcWkzwLuQCM+kqt8faAK3TCaTuCpV\n3INdSDxjcJlys9mMtm3bYtasWYiPj0doaCjuv1+v0pecnIxdu3Zh5cqVePDBB1FZWYmbbroJly5d\nwuLFiyUMWcUHgCbwMS4uDt9++y0uXLggla3DwsKQn5+P8vJyr6IiJSUlKCsrQ8eOHcWfz4lhapk4\nHryqkuAXoLa2VsBAFraSNE2D0+lEbm4upkyZgsmTJ4vXgtvu6XIGgH/+85+Sz7BmzRq535kzZ4qH\n6eLFiwgICBDlwCBbQUEBampqvGI1OL6CoxrVIr6apiEjI0Nm8XHjxgGAITy9a9eusNvt2L59OzIz\nMyUWY+HChdIGxpmeffZZAHqhXvaMeSZAsVRUVMiLz23kxKq4uDhD5Wy+BueIADpmoJLmtmnTRpQt\ne7E+//xzhISEiFJVlVdZWRmGDBmCbt26ebXth6RFKQb1Zf0xYW3LA9ATBbbZbAJ4hYaGerE+sWia\nBofDYTCvAV3rspVhsVhQV1fn9QA5lt5kMglwyAPb7XZj4MCBiIuLk/yBuLg4WK1WVFRUICsrC3a7\nHampqejUqRNee+01CcjipYTanhtvvBExMTE4fvw4CgsLxWQuLy+H3W5H+/btUVpaiptvvtnLbDx8\n+DB69eqFCRMmyODh/lJj+1UrgWdAABLI49NY05NZk+vr61FZWQmbzQar1YrDhw/jscceg8vlEqZv\nNmXZ0gCMYccq0Anoz57byAr4888/N1Rm4lwa9QVoaGhAv379UFtbi6NHjwoqz1JSUuJVT5P7gFmg\nGhoa8Ne//hWA0cOlWrInTpzA66+/DqDJVVtVVQVN03D69GlUVFSgb9+++OabbwQo5qXmpUuXUF9f\nL0xTXFXbM/cH0D0UixYtAmB0wV68eFGS8mpra1FdXY2lS5di5syZso/T6TQoPSLyqlj+Y9KiFANL\nc5pX/Y29AkBT7L1KVwboLzObbTExMV7x7iz19fVCW++JY2haUwl7/p+tBqvVavB6AE3r3G+++Qar\nVq3C3/72N4wcOVIouTp16iTlzSorKzF58mTcfvvtsNlsyM/PF2q3hoYGTJw4ERkZGUhOTobb7ca8\nefNw7NgxXLhwwYAyBwcHIzo6GhcvXkSXLl1www03YMyYMYiKisKkSZMA6ANz7dq1cLvd6NevH4YO\nHSoJODy4gKYXUc0FAJoGfnPBZvX19RKh5+fnh5qaGly4cAFxcXE4c+YMFixYgA8//BDdunVDSUmJ\nvEyez4CXSnxu/ltfX49169YZkrBUy02V2NhYAMBDDz2EgoICA6XdoUOHUFtbi5dffhmAXk6P8R8O\nfFqyZAk6duyIHj16IDMzU5YcjCvwZKTS7AN6VC1PLKdPn4bJZEJcXJyMD7ZWNU3DgQMHDEsHHuv8\nIvMS9vDhwzKxzZo1yyuSlcckEaGwsBA33XSTWAX5+fnSR3ycZ2Tvj8qVopS/5Kd9+/bk6+srFZ8A\n7xh/lZhEZVBmFJu9AUz5lZKSIvH7GRkZQgOuxqgz4h4fH0+DBw82eD6cTqcUtYmJiaGQkBApN85E\nrSaTSUhcAgMDhY2JiOjo0aMEGIt+ZGdnU9++fYmI6MknnzQQkKgVsRj9HzRoEPn6+tLLL79MaWlp\n9M4779C2bdsM8fOcV+JwOKQw7ZQpU4iIpOBrjx49vPo0KSmJ0tPTpdoWeyU8SWUBGPqcWbH5uXh6\neZgshvswJCSEnE4nzZ49m7Zu3WrwTAQGBhJRUzk5IqJFixYZ2sm5LG3btjWwL7MHS/Xc3HfffZSc\nnExWq5V27NhBTzzxBEVFRcmYcrlczeZOxMTEUG5urmx7+eWXadGiRaQK78ul33r27ElETbkTag5P\namqqHMfUbyr7VN++fWnChAle5+ZPQkICRURE0OLFi4VkhaiJcMZqtRoIh5OSkujPf/4zLVu2TBie\nTp8+LXk4gwcP5v1/fV4JLhzTnIeBZwae3Xn5oO7LoaR79+4FAMkoBPR1FiPbatYhn5c1uApU+fv7\ni/+eeQ94Xcd+ayKS7EWeTaqrq5GTkyPmKaDzGNTV1WHgwIH44osv8Morr+D666/HRx99hGXLlsFs\nNuObb76R5Y7T6cT48eORl5eHyspKTJw4EePHj8cLL7yAgoICZGRkSNttNhvq6+tRW1srlsmwYcNw\n5MgRHDx4EIGBgThx4gTmzp2L8PBw8d0fO3YMX375JeLi4mSpxdYCA46eqc4sjIzz8wCMRKZEJBmv\nRUVFcLvdePHFFzF06FCZGbdt2ybPRI0/yMrKwogRIwSDoEbMRY2MBZoIhBl/AXTrkQOltm7divDw\ncBw7dsxQDt7tdnsVBz5z5oz0C6AHXs2fPx+HDh3yKmZjt9tRVlZmKCQENKW+a5om2BZvB5qsDSLC\n119/DZfLJRGf6jXi4uLw3Xff4ZFHHsGcOXMkoIyvFRgYCLvdLtvT0tJQUlKCkpISfPXVV5KLEhMT\nI9c8fPjwZZ/l5aRFKAYAAqRcLu6cB4eaks1VqQCgT58+hvM5HA5ZZqiEF57go9vtFiIW9drUCLBx\nYpL6m+q+5BeEk11MJhM6dOiAJUuWoE+fPrjtttuwePFimM1mGQhxcXF4++23ERERgU8//RSjR48W\ncg1AZ1U6ffq0gXDkyJEjCAwMxN69e5Geni4mIiszt9uNwsJCpKam4vPPP8dTTz2F0tJSzJkzBxcv\nXkRwcDCGDRsGt9sNm80mA5tN7G7duiEpKUmWMtznAEQpAjBEbPJvnhGCzPzk4+MDPz8/VFVVobCw\nUF6ojz/+2MscB/SQ9jVr1uCtt94SJcDtKCkpkYQ2fr48Rnh5eezYMeF6eOaZZzB16lSUlpbKGCku\nLkZhYaEhl4CFA4UAfXJ5++238eabb0qFcx4/RUVF0DQNFy9exNixY7F8+XLYbDbBCYgIZWVlElL9\n4IMPGtb7TqcTJpMJ7du3x8GDB2U8AXr4d2ZmJgA9sjUyMhJFRUXCQFVcXIza2lrBxLitRUVFOH36\nNPbs2YP27dsLhsGeltzcXK9l749Ji1EMRGQAk9Rtnr/xDKFSj6k+YZPJZOgIjkUAmndX2u12rwHP\nKDMPTM43YICOIxU5/sHpdMLtdhso6Gtqagwl6AH94R85cgR/+9vfMH78eBw5cgTvv/8+Fi5cCCJC\neno6Xn75ZQQEBMDPz0/WxH369MHQoUMNlhDQ5B8HdE9Mnz59EBkZicjISIwZMwYTJ05Ebm6ueDHy\n8vLknkwmE1wuFy5cuICamhr069cPd9xxh5yf+5lzKTjjVAVqPf+ym5X7TvWUsKIZPXq08D+wfPDB\nB1K2b/bs2UhMTDT8To2gJIOQqvuZPVSHDx82ZGD6+/sjPz9fwtYBCCjqORbYa+Pj44M//elPOHDg\ngJSYU6/HbcnJyUHXrl0xduxYuS8uA2cymeT+5s2b5+UGr6+vx/79+4W9iy21/Px8meCOHDkiY56x\nEF9fX7jdbuTn53u5lr/77jtkZWUhMTFRPDM333yzF4ZxpdJiFANgJKbgG+Jt/Ff1C18OUImOjjaA\nkR06dJBlAQ9gVVTFwcJmIWdMcvYaz048UFgxFRQUiPIA9AH2m9/8RsJk582bh+XLl+PcuXOIiIiA\nzWbDoUOHoGka/vCHP6CwsBAOh0MowDZt2oQePXpg/PjxsFqtePrppzFmzBh07doVx48fR5s2bYRz\nkvvG5XJh+fLl+Pbbb/HII48IcQi7x3JycgwBWiqYmp2djU8//RT+/v4YNmyYl5fH1MjDyS+BChAT\n6dRyPHB5Sai68LjfiouLUVJSIlbXddddh5deegkDBgyQe+/UqZNXfEpNTQ2qq6uFcIf7XeXl5ISx\n9PR0lJSUwG6345prrhHPEaDHKbArU51sFi1ahLlz5+KWW24BACxYsAAnT55EUVERNm/eLAlggB6j\nUVNTI5mZnMDFtS8842t4TDCoW15ejtWrV8Nms+HJJ5/EihUrROFFRUWJhcTWyn/9139Jrcply5YB\naGIxYy5TDq8ODQ3FkCFDsHjxYnnGfO2fJFcKRvySn/j4+MvWlGBwiUEtNaRXLWumAjnjxo2jcePG\nyW+jRo0yVBPij7mxtNyIESMEtORPSEgIBQUFSYkzJgrhqlQMXHLIqr+/Pw0YMIAyMzOJSCcv4ToA\naWlp0rb6+npauXIlRUdHU0pKCr311lvCdtymTRt69913KTw8nJ599lkiIlq8eLGAmMz6m5eXJyHe\ngB52HRgYSJs3b6YxY8bQpUuXJISXiOi2224jQA8nvvnmm4US3+l0CojVtWtX6tChAwGg+Ph4uvfe\neykjI4PatGkjAJsKMPK1GRxEIyCogmyAkYmbSWXUZ8i/cck+lq1bt1J6erqAd3z8k08+SQAoMTFR\nQNWRI0fSwIEDhfH5hRdeIKCJdfr48eNCUAPo4e4q2MjPm2uSMOU9h75zFXF+1n5+flLDlIV/42OH\nDx8uVPVERCEhIXLvfHzXrl3p8OHDRKSHWKtl+GbPnk1JSUlksVioX79+9PDDD0uZPR7HQUFBlJCQ\nQHFxcTRp0iQBbm+88UYKDQ2lV199laZNm0Y+Pj706quv/rzgo6ZpbTVN+0zTtCOaph3WNO2Bxu0L\nNE07q2na/sbPrcoxczVNy9Y07ZimaQN+7BrAD2s0Nn2Zao3/stb0pG0LDw83EIR6WhuNbQRgxBpU\nsVqt4n8GjKAlE8By0BOTyarZi5qm4aWXXkJmZib27t2L48ePIycnB2fPnsXAgQNx9uxZ3HrrrYiI\niIDZbMbu3btx8eJFnDp1Cm3atJGU2oMHD6Jdu3bYv38/du3ahVGjRiEqKgoPPfQQ1q1bh927d+O6\n667D1q1bMXDgQHTp0gVz5szBxo0b8Y9//AO///3v0a1bNwQEBOD8+fPYgscurQAAEA9JREFUtWsX\nysvLUVlZidraWgm1Li8vR01NDYKCgpCfn49//etf2L59O9xut1S4YiuqufRnXutzP6gWF4dWNxee\nzNYLp0/7+flh8eLFiIqKwvvvvy8zr8qtaTabJRgM0HEPnrUTEhKQkJCA5ORkeWYhISHo06ePIRaC\nrRMeG+Xl5VKFmwOh2GritTpzQ1RUVEgsB7tZOdybZ/n33nsPAQEBQtwaGxsrpLs8DgsLC2UM79q1\nS64XFhaG5557DidPnkRAQAC++uorvPbaaxLkxRYIWwm5ubkICAiQRLFz587hd7/7HebMmYNly5Z5\nAbdXIleylHADmElEnQCkA5iqaRpHf/yTiLo2ft4HgMbfxgJIATAQwHJN034QElX98s39Jg3x8Ebw\nb54l2Pz8/AQzsFgshkAlFjZ3ecDyAwWaypBzOjSvV3lJwS8G52mo8f2eioZDfwMDAxEfH4927doJ\nar1+/Xrs2rULK1asEBagN954wwCOde/eHX379sXYsWPxwQcfID8/H2VlZXA6ndi0aRN69uyJo0eP\nYtGiRUhKSsLWrVvh4+OD9PR0ZGRkYMCAAXjvvfcQHx8vBLZqbgr3S0FBASoqKlBSUmIgRSkrK8Op\nU6dAROjYsaNhaaCGVgP6up6ZliwWi+A86hKLPRd2u12+s2IpLCyE1WrF448/jv79+2Pfvn2Ga1it\nVkRERKB37974/vvvBXj95JNPhIUK0Iln27dvb8AhFi9ejMzMTFHinNo8ePBgALoXivNbjh49CkB/\ncSMjIwUQXLt2rQEXqK2tFY/C999/j8jISAAQDtB33nlHJgr2lvG9ut1uVFZWGoK9eLlbUFAAh8MB\nt9stPA25ubkSlxMWFiYKNTs7G3FxcXjqqaewd+9eWK1WnDt3DsHBwZJyPXTo0J+cXfmjioGIzhHR\n143fywAcBRD9A4cMA/AaEdUQ0UkA2QC8k+U9xJOxyXNGB5rQW16fspbmhBMmp9A0TTwSkZGR8PX1\nNdRoVO4NPj4+4u5T26KCj2r4tamRCTogIABETYlOrBTUmhcsGzZsQE5OjqQbP/LIIwCAa6+9FqdO\nnUJSUpLk+n/xxRd47LHHxIPRo0cP+Pn54fHHH0f37t2xfft2+Pv7Y/369UJEumXLFkG4t2zZgmXL\nlgnDUHFxMSZNmoTMzEwUFhYaZm7uD07J5v5t164dOnXqJLMwoM+SycnJGDlyJMLDw4UbgD0Y/OyI\nSAY4J2LV1dV5hQzzNnaL8jlKSkpw8eJFXLhwASNGjMCwYcMEG3I4HDhx4gSGDBkiwGZkZCRqa2ux\ndetWuFwuZGdnw2QyYcyYMXI/n3zyCdLT03H33XcjPT0dFRUVQlXHdTaKiooMuTX8QpeWlkq6NPcD\nAAnX/vjjj+U3tfaE1WrFX/7yF6xbt84w5pjAlvk9Dh48iFGjRgHQJwUeP8wMxUQwfC/XXHMNcnJy\noGmaKCKTySTKora2FgkJCfj222+FnIgtiZ8iPwl81DQtDkA3AJx+Nk3TtG81TXtR0zROnYsGoBLM\nnUEzikTTtMmapu3VNG2v+kDIwxNxuVwIoiYCFwYaOeGloqJCZuXQ0FB5ETw9DyyekZZEJPELbBZX\nV1dLzADvw3RxmqahqqoKFRUVMkupjFHbtm1DaGiouJ040ejMmTNS+JbN1z179uC6666TqLe33noL\n2dnZuOWWW9ClSxckJibio48+wowZM5CdnY0uXbpg1apVOHbsGMaOHSv0ZPHx8QgODsa0adPw29/+\nVpYDzfmzTSYTunXrhl69eiE9PR3h4eGwWq0G7gdAN4+rq6vRs2dPdOvWzdAH/AGaeCTZY0NEAkry\nPuzp4dByNR7BbDajpKQE5eXluPbaawUkLCkpwapVq2TWNpvNYi1+//33iImJESXKyxqLxYJVq1bJ\nPXD9BTV2gM1s1TplYDskJAR2u11C0NnCYLD4m2++Ec9TfHw8AD1sub6+Hn/5y19w5swZyXrkazJ7\ndEVFBSorK2VCGzBgAKqqqhAWFoacnBxpi+pVUa1J9vhYLBZERESgvr4ecXFxGDx4MGpra/Hcc88Z\nolp/ilyxYtA0zR/AmwBmEFEpgGcBdADQFcA5AEt+yoWJaCURpRFRGrtS1IHBf5sLj+ZtbFqxxbB5\n82YAEOQb0F/QoqKiZunh1YAc1WJglxv74tkE5/Wzj4+P0HVxEAkPKh7ErBgefvhhoQPz9fVFp06d\nxGV24MABHD58GJ999pm4xXr16oV//OMfkjm5dOlS7Ny5E1lZWZgzZw4aGhrw6quvwm634/7778ee\nPXuEEemRRx5BQ0MDnn76aQD6IMrJyUFubi7GjBkjL7OnhISEoLy8HPn5+Th58iS+/PJL7Nu3T1xm\n3N9utxvvvvsuDh48CD8/P9x0002IjY0Vy0ot3sMeAs/+ZsXErFJsqahIvsVigd1uh9VqxebNmw15\nD1lZWfJseULhPjeZTEhNTYXFYkFOTg46deqEuro6w6z+6KOPAjBmNLJ14OvrK2HQrLxPnToFp9Mp\nqdivvvqqPFsfHx989NFH+PzzzwHotG6sqKqqqjBlyhS0b99erD+eoLjuB2frpqWlyfl79uyJsrIy\ng8eN43DUbRs3bpQAsaqqKpSWlqJLly4YMmQICgoKBNvg6l9sXV6xXAlCCcACYAuAP13m9zgAhxq/\nzwUwV/ltC4Drfuj8jIYz2u2JWvP25op+wsMjAYBmzZol3ydNmkT9+vXzoqfn72azmUaMGGEIAWbS\nE7vdTiEhIRQREUH+/v4UHBwsFa+ZCIVDYS0WC40aNcpQj5GI6MCBA3T8+HEpXkqko94qIQ2RHkKt\n3gN/Xn31VRo6dKj8z16E/v3708qVKwmAeDVYEhIS6Ntvv6Vp06YZQrfV+9YUohb+37MqM29T+86T\neh4ARUZGGohd1POoYeZMxc6oOoc0e7aH64PycTfffLN4FEwmE61YsUJ+6969O4WFhUmYMm/jYsYA\nKDw8nCZOnCj9w30/depU2cb3OGTIENnGZCoBAQE0dOhQWrFiBRERjRgxwnD/kyZNoqVLlxIR0fjx\n46UKelhYGLVp04ZGjRpFAwYMoHPnzkkBYfZycdFZ9fk11+9877GxsfTmm28SEdGkSZOkrzMyMqh3\n795kt9tJrQX7+OOPCyENfmavhAbgXwCOEtETyvZIZbcRAA41fn8XwFhN02yaprUH0BHAnh+5BoAm\ni+Fyfy9H4nK58wG6GeZZwswzwpGDdlg4QIcLvXAZODXKsLKy0hBg5XA4DKGyAPDxxx+jc+fOmDZt\nGl555RVZ6zGf4IIFC2RfrqmYlpYmbfH19UXv3r2xceNGZGZmYty4ceJFWL16tSyhtm/fbgjFzc7O\nxksvvYSXXnpJPDqeUaVE3gzZnkstasQLPJmwGS/gWe/cuXNivfH1AAgICeizOvNMMPbAIKcKQgJN\nQCNbEE6nUwLYiMgQbs4EMLW1tVK16+uvv8alS5eQnJyMrl274pprrsH+/fsFA+CMT7UiFVtFO3fu\nxJIluvHLlldpaSn27Nkjnoy33nrLUFpw165dEo6+du1asUAKCgqgaZpUhoqIiBCsoKSkRDwsLMOH\nDwegL9lUunxVLBYLJk6cCAB48cUX5bkUFBRg586dsNvtOH36tLwzZWVlaNeunXA1XKlozZmWhh00\nLQPANgAHAfDI+m8A46AvIwhALoD7iOhc4zEPAbgLukdjBhFt/qFrdOzYkZ544okf2qVZMZvNWLp0\nqSwhXnvtNSxZsgQ33ngjduzYgdraWjidTtGC58+fF+ScXxYAuP766+XB5ufny8DkQCYOTGFTmUWN\nwffx8UF0dDRuvfVWTJs2DW+//TYqKiqEGHT//v3YsmULtm3bhvfffx91dXWorKxEaWkpqqurccst\nt2Dnzp2IiYnxemktFguOHDmCkJAQFBYWwmw2Y/r06XjssccQHByM++67D3/605/Qrl07zJgxAy+9\n9BKio6N/tO7GlYq6nPMMWWeEPTc3F0lJSfjrX/8qZjp7fdSXHoCXEvAU9Xdekqjp7GxWE5HU91Az\nYFVOD1aYiYmJiIuLw3PPPYcvvvgCbrcb999/PxYsWIBx48bhs88+AxFh+vTpSE1NxWuvvQZAL/J7\n8OBBPP/88+jZs6dQ6W/atAl2ux0zZsxAfX09unXrJpmjmzZtwrx58yRT0mQyITExEW+88QY2bdoE\ni8WCQ4cOYfXq1XA4HNi1axc2bdqEnTt34rHHHgPQVNKP+/v48ePYsWMHNE3DhQsX8O677yIwMBBv\nv/02TCYTFixYIBNWcXGxXDcqKgrXX389Dhw4gJ07d+4jorQreeY/qhj+E6JpWiGACgDeAfQtT0Lw\n62gn8Otpa2s7f35prq2xRBTa3M6e0iIUAwBomrb3SrXZ1ZRfSzuBX09bW9v588v/t60tKleiVVql\nVVqGtCqGVmmVVvGSlqQYVv74Li1Cfi3tBH49bW1t588v/6+2thiMoVVapVVajrQki6FVWqVVWohc\ndcWgadrAxvTsbE3T5vz4Ef9Z0TQtV9O0g42p5Xsbt7k0TftI07TvGv+2+bHz/ALtelHTtAJN0w4p\n25ptl6bL0sY+/lbTtO4toK0/a9r+z9TOy1EMtKh+/YF2/nx9eqUhkr/EB4APgBwA8QCsAA4A6HQ1\n29RMG3MBhHhs+zuAOY3f5wD4n6vQrj4AuqMxFP2H2gXgVgCbAWjQU+d3t4C2LgAwq5l9OzWOAxuA\n9o3jw+c/1M5IAN0bvzsBHG9sT4vq1x9o58/Wp1fbYugJIJuIThBRLYDXoKdtt3QZBuDlxu8vAxj+\nn24AEW0FcMFj8+XaNQzAatLlSwBBHiHtv6hcpq2Xk/9T2v7PIXR5ioEW1a8/0M7LyU/u06utGK4o\nRfsqCwH4UNO0fZqmTW7cFk6N4d8A8gGEX52mecnl2tVS+/n/nLb/S4tmpBhosf2q/YxUCKpcbcXw\na5AMIuoOYBB09ioDTz3ptlqLc+201HYp8v9K2/8lRfOmGBBpSf3aTDt/tj692orhLIC2yv8xjdta\njBDR2ca/BQDehm6CnWeTsfFvwdVroUEu164W189EdJ6I6omoAcDzaDJtr2pbNU2zQH/Z1hHRW42b\nW1y/NtfOn7NPr7Zi+ApAR03T2muaZoXOFfnuVW6TiKZpfpqmOfk7gP7Q08vfBTCxcbeJAH46d9Yv\nI5dr17sA7mxE0dMBXFJM46si2s+Ytv8ztqlZigG0sH69XDt/1j79T6CoP4Kw3godVc0B8NDVbo9H\n2+Kho7kHABzm9gEIBvAJgO8AfAzAdRXa9ip0c7EO+prx7su1Czpq/kxjHx8EkNYC2rqmsS3fNg7c\nSGX/hxrbegzAoP9gOzOgLxO+BbC/8XNrS+vXH2jnz9anrZGPrdIqreIlV3sp0Sqt0iotUFoVQ6u0\nSqt4SatiaJVWaRUvaVUMrdIqreIlrYqhVVqlVbykVTG0Squ0ipe0KoZWaZVW8ZJWxdAqrdIqXvK/\ne7Rn70OXwpoAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "pjZ_15OcYMkj",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}